Algebraic Geometry

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Description

Lecturers: Giulia Gugiatti and Ivan Cheltsov

Algebraic geometry employs algebraic methods to answer geometric questions. This course offers an introduction to essential concepts, results, and techniques in the field. We will begin with affine varieties and morphisms, then introduce the general notion of variety, and focus on projective varieties. From there, we will study rational maps and blow-ups. Finally, we will define schemes and (quasi-)coherent sheaves. The main reference will be Gathmann’s lecture notes https://agag-gathmann.math.rptu.de/class/alggeom-2021/alggeom-2021.pdf.